No sign problem in one-dimensional path integral Monte Carlo simulation of fermions: A topological proof.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.035305
Abstract: This paper shows that, in one dimension, due to its topology, a closed-loop product of short-time propagators is always positive, despite the fact that each antisymmetric free fermion propagator can be of either sign. read more here.
Keywords: problem one; sign problem; path integral; dimensional path ... See more keywords
Solution for a bipartite Euclidean traveling-salesman problem in one dimension.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.052109
Abstract: The traveling-salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We characterize the optimal cycle for every convex and increasing… read more here.
Keywords: problem one; salesman problem; cost; traveling salesman ... See more keywords
On One Approximate Method of a Boundary Value Problem for a One-Dimensional Advection-Diffusion Equation
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100541
Abstract: This article discusses the author’s version of the technology for solving a one-dimensional boundary value problem for a one-dimensional advection–diffusion equation based on the method of separation of variables, as well as the theory of… read more here.
Keywords: problem; equation; problem one; one dimensional ... See more keywords